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Finding the Fourth Proportional to 13,870.78, 19,167.03 and 9,884.97

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Solution

The fourth proportional to 13,870.78, 19,167.03 and 9,884.97 is: 13,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.78 : 19,167.03 = 9,884.97 : x
  2. Step 2: Convert to fraction form
    13,870.78/19,167.03 = 9,884.97/x
  3. Step 3: Cross multiply
    13,870.78x = 19,167.03 × 9,884.97
  4. Step 4: Simplify right side
    13,870.78x = 189,465,516.54
  5. Step 5: Solve for x
    x = 189,465,516.54/13,870.78
  6. Step 6: Final answer
    x = 13,659.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.